A differential game with integral constraints in a half space.
We study a pursuit-evasion differential game of one pursuer and one evader in a half-space. On control functions of the players integral constraints are imposed. Duration of the game T is fixed. If at this time the state of the pursuer coincides with that of the evader then pursuit is considered co...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/27408/ http://psasir.upm.edu.my/id/eprint/27408/1/ID%2027408.pdf |
| _version_ | 1848845837722976256 |
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| author | Ibragimov, Gafurjan Ismail, Fudziah Abd Rasid, Norshakila |
| author_facet | Ibragimov, Gafurjan Ismail, Fudziah Abd Rasid, Norshakila |
| author_sort | Ibragimov, Gafurjan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We study a pursuit-evasion differential game of one pursuer and one evader in a half-space. On control functions of the
players integral constraints are imposed. Duration of the game T is fixed. If at this time the state of the pursuer coincides with that of the evader then pursuit is considered completed. The state of the evader at the time T must belong to the half-space. In this game, the goal of the pursuer is to complete the pursuit as soon as possible,
whereas the evader E wants to maximize the capture time. The
evader uses information about the state of the pursuer only, whereas the pursuer uses the current value of the evader’s control parameter. The main result of this paper is the solution of the pursuit-evasion differential game. It should be noted that the energy recourse of the evader can be less than that of the pursuer. This theorem enables us to obtain the solution of the differential game problem with many pursuers. |
| first_indexed | 2025-11-15T08:53:10Z |
| format | Conference or Workshop Item |
| id | upm-27408 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:53:10Z |
| publishDate | 2012 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-274082014-06-13T07:33:34Z http://psasir.upm.edu.my/id/eprint/27408/ A differential game with integral constraints in a half space. Ibragimov, Gafurjan Ismail, Fudziah Abd Rasid, Norshakila We study a pursuit-evasion differential game of one pursuer and one evader in a half-space. On control functions of the players integral constraints are imposed. Duration of the game T is fixed. If at this time the state of the pursuer coincides with that of the evader then pursuit is considered completed. The state of the evader at the time T must belong to the half-space. In this game, the goal of the pursuer is to complete the pursuit as soon as possible, whereas the evader E wants to maximize the capture time. The evader uses information about the state of the pursuer only, whereas the pursuer uses the current value of the evader’s control parameter. The main result of this paper is the solution of the pursuit-evasion differential game. It should be noted that the energy recourse of the evader can be less than that of the pursuer. This theorem enables us to obtain the solution of the differential game problem with many pursuers. 2012 Conference or Workshop Item NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/27408/1/ID%2027408.pdf Ibragimov, Gafurjan and Ismail, Fudziah and Abd Rasid, Norshakila (2012) A differential game with integral constraints in a half space. In: 2012 Conference on Computer Science & Computational Mathematics (CCSCM 2012), 9-10 Feb. 2012, Melaka, Malaysia. (pp. 106-107). English |
| spellingShingle | Ibragimov, Gafurjan Ismail, Fudziah Abd Rasid, Norshakila A differential game with integral constraints in a half space. |
| title | A differential game with integral constraints in a half space. |
| title_full | A differential game with integral constraints in a half space. |
| title_fullStr | A differential game with integral constraints in a half space. |
| title_full_unstemmed | A differential game with integral constraints in a half space. |
| title_short | A differential game with integral constraints in a half space. |
| title_sort | differential game with integral constraints in a half space. |
| url | http://psasir.upm.edu.my/id/eprint/27408/ http://psasir.upm.edu.my/id/eprint/27408/1/ID%2027408.pdf |